Any public events, especially meetings, rallies, demonstrations can turn into riots. Law enforcement agencies are preparing in advance to carry out these activities. In accordance with the governing documents, a special operation is being carried out and groups of operational formation are being allocated to stop the riots. The quality of task performance depends on the timely management of these groups. Operational formation groups are controlled by voice, loudspeakers and radio stations. The equipment of law enforcement personnel during a special operation to stop the riots requires the presence of a protective helmet. It reduces the ability to perceive voice commands. Also, riots are always accompanied by noise, which affects the quality of receiving voice commands by personnel. In accordance with the governing documents, the commanders of subunits and groups of operational formation must have means of communication. However, in conditions of riots, such distribution of communications equipment may be insufficient, which may lead to failure to fulfill the relevant tasks. At the same time, providing each representative of law enforcement agencies with a radio station requires financial costs. The article proposes a mathematical model for determining the required number of means of communication to ensure the fulfillment of the tasks of stopping mass riots. When developing this model, an approach was used to calculate the power of loudspeakers for lumped systems. The developed mathematical model takes into account the specifics of performing tasks during a special operation to stop mass riots and allows you to determine the total number of communications equipment necessary to ensure the management of operational formation groups. The model will help improve the management of operational formation groups and improve the quality of command transmission by commanders to the personnel of these groups.
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